Radial quantum number selection rule in the beta decay ofTl209

1980 ◽  
Vol 22 (4) ◽  
pp. 1787-1789 ◽  
Author(s):  
V. M. Datar ◽  
C. V. K. Baba ◽  
S. N. Acharya ◽  
S. A. Chitambar ◽  
H. C. Jain ◽  
...  
Keyword(s):  
Quantum Number ◽  
Beta Decay ◽  
Selection Rule ◽  
Radial Quantum Number

scholarly journals Patterns and paschen-back analogue in the stark-effect for neon

1929 ◽  
Vol 123 (791) ◽  
pp. 80-103 ◽  
Keyword(s):  
Quantum Number ◽  
Stark Effect ◽  
Selection Rule ◽  
Theoretical Calculations ◽  
Zeeman Effect ◽  
Final States ◽  
Outer Electron ◽  
Initial State ◽  
Final State ◽  
Left Handed

While the Stark-effect has not been studied so extensively as the Zeeman-effect, either in the experiments or in their interpretations, many of the more prominent features have been observed and have received adequate explanation on the quantum theory. Among these may be mentioned the patterns characteristic of the different series in the singlet system of parhelium. The variety of observed patterns in the Stark-effect, as contrasted with the normal Zeeman-effect found for all series of this system, arises from a differential action of the external electric field on the initial and final states, and a breaking down of the usual selection rule for the azimuthal quantum number. Some simplification is brought about, however, by the fact that only the absolute value of the quantum number m has any meaning in the interpretation of these photographs, since the action of the field is the same for right or left-handed motion of the outer electron in its orbit. This results in asymmetrical patterns for all the lines. The number of components observed in the patterns of individual lines of parhelium is in accord with the theoretical view that the vector j (here equal to l ) is resolved along the direction of the applied field to give the integral m values ranging from - j to + j , and that the usual selection rule holds for m . The displacements and intensities are in excellent agreement with the theoretical calculations based on the perturbation theory of quantum mechanics. The spacing of the sub-levels identified by ± m in the initial state is decidedly irregular in the Stark-effect as compared with the normal Zeeman-effect, where the displacements are proportional to m . The Zeeman order of the levels is usually reversed, in fact, and the spacing is uneven. Displacements in the final state are theoretically very small, and have not been observed with certainty. In the Stark-effect for orthohelium (triplet system) the same group of patterns was observed. An explanation of these observations, which is slightly less satisfactory than that obtained with parhelium, has been made by similar methods, neglecting the electron spin. Thus the m values were again given ranges determined in each case by the l of the outer electron, and not by the j for the whole atom. Most of the plates failed to reveal any of the fine structure of the normal orthohelium spectrum.

Violation of a Bell inequality in two-dimensional state spaces for radial quantum number

2018 ◽  
Vol 98 (4) ◽  
Author(s):  
Dongkai Zhang ◽  
Xiaodong Qiu ◽  
Wuhong Zhang ◽  
Lixiang Chen
Keyword(s):  
Quantum Number ◽  
Bell Inequality ◽  
Two Dimensional ◽  
State Spaces ◽  
Radial Quantum Number

scholarly journals The spectrum of doubly ionised oxygen (O 111)

1928 ◽  
Vol 117 (777) ◽  
pp. 317-330 ◽  
Keyword(s):  
Quantum Number ◽  
Selection Rule ◽  
Usual Method ◽  
Electron Configuration ◽  
Present Communication ◽  
Convenient Procedure ◽  
Quantum Numbers ◽  
Quartz Spectrograph ◽  
Vacuum Tubes ◽  
Concave Grating

Introductory . In continuation of previous investigations of the spectra of the lighter elements, the present paper gives an account of the spectrum of doubly ionised oxygen. The lines have been observed mainly with suitably strong discharges in vacuum tubes, and have been distinguished from those of O II by the usual method of comparing the intensities of the lines under the action of different discharges. Most of the stronger lines have been measured with considerable accuracy on plates taken with a 10-ft. concave grating, or with a large quartz spectrograph. As was expected, the spectrum is generally similar to that of N II, and the terms so far determined are in entire accordance with Hund’s theory. Notation. It has been found that the system of numeration used for the terms of N II is not conveniently adaptable to certain other spectra, and in the present communication a modified form which seems likely to be of more general applica­tion, has been adopted. In particular, it has seemed desirable to assign the same prefix to all terms which arise from the same electron configuration. A convenient procedure, which has already been followed to some extent by others, is to use the orbital designation of the “series electron” as a prefix, with small italic letters for electron orbits, as distinct from the capital letters used for terms. Thus, 3 s 3 P 2 will indicate that the 3 P term in question is due to a configuration in which the series electron occupies a 3 1 orbit. Combination possibilities are then shown by the application of the ordinary selection rule for azimuthal quantum numbers to the electron symbols, in addition to the inner quantum number rule applicable to the term symbols. For example, a 2 s 1p1 might combine with a 3p 1 P 1 , but not with a 3 s 1 P 1 or 3 d 1 D 2 term. In this way it becomes unnecessary to “dash” any of the term or electron symbols in connection with the simpler spectra.

scholarly journals Radial quantum number of Laguerre-Gauss modes

2014 ◽  
Vol 89 (6) ◽  
Author(s):  
E. Karimi ◽  
R. W. Boyd ◽  
P. de la Hoz ◽  
H. de Guise ◽  
J. Řeháček ◽  
...  
Keyword(s):  
Quantum Number ◽  
Radial Quantum Number

Analysis of spatially multiplexed optical channels using radial quantum number

2014 ◽  
Author(s):  
S. Murshid ◽  
S. Alanzi ◽  
R. Enaya ◽  
I. Barka ◽  
A. Chakravarty ◽  
...  
Keyword(s):  
Quantum Number ◽  
Optical Channels ◽  
Radial Quantum Number

scholarly journals The relativistic theory of an atom with many electrons

1929 ◽  
Vol 124 (793) ◽  
pp. 163-176 ◽  
Keyword(s):  
Angular Momentum ◽  
Magnetic Fields ◽  
Quantum Number ◽  
Relativistic Theory ◽  
Total Angular Momentum ◽  
Selection Rule ◽  
Relativistic Equation ◽  
Magnetic Quantum Number ◽  
Azimuthal Quantum Number

This paper derives the ordinary classification of multiplets, and the selection and summation rules, from Dirac's relativistic equation. The non-relativistic theory of the inner quantum number j and the magnetic quantum number u , and their selection rules, was worked out for an atom with any number of point-electrons by Born, Heisenberg and Jordan, using matrices, and by Dirac, using q -numbers. The two methods are equivalent, and depend principally upon the properties of the total angular momentum. 2 points out that the total angular momentum has the same properties in the new theory, so that the previous work can be taken over with scarcely any amendment. 3. deals with a selection rule that has received little theoretical attention. The azimuthal quantum number for a single electron is denoted by k , and Σ k is the sum for all the orbits involved in a given state. It is known empirically that Σ k always changes by an odd number. This is the basis of the distinction between S, P, D, ... and S', P', D', ... terms. The rule is proved rigorously in the absence of external fields. A practical consequence is that the O ++ lines of nebular spectra, if rightly identified, can occur only in electric or non-uniform magnetic fields, for they have ∆Σ k = 0.

scholarly journals Sorting Photons by Radial Quantum Number

2017 ◽  
Vol 119 (26) ◽  
Author(s):  
Yiyu Zhou ◽  
Mohammad Mirhosseini ◽  
Dongzhi Fu ◽  
Jiapeng Zhao ◽  
Seyed Mohammad Hashemi Rafsanjani ◽  
...  
Keyword(s):  
Quantum Number ◽  
Radial Quantum Number
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